Perverse equivalences, BB-tilting, mutations and applications

Details Perverse equivalences, BB-tilting, mutations and applications Perverse equivalences, BB-tilting, mutations and applications

2010-01-26

arxiv.org/abs/1001.4765v1

Mathematics

Representation Theory

26 pages

Scientific paper

We relate the notions of BB-tilting and perverse derived equivalence at a
vertex. Based on these notions, we define mutations of algebras, leading to
derived equivalent ones.
We present applications to endomorphism algebras of cluster-tilting objects
in 2-Calabi-Yau categories and to algebras of global dimension at most 2.

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